Applied Elasticity And Plasticity

Exploring Structural Mechanics, Stresses and Strains, Axially Loaded Members, Stresses in Beams, Mohr’s Circle.

THE FOUNDATIONS OF THERMOELASTICITY-EXPERIMENTS AND THEORY (A. PHILLIPS) 1. Introduction 2. The initial yield surface 4 3. The subsequent yield surface 6 4. Some theoretical consequences 10 References 13 ON THE PHYSICS AND MATHEMATICS OF SELF-STRESSES (E. KRONER) 1. Introduction 22 2. The physical origin of the self-stresses 23 3. Formulation of the mathematical problem of self-stresses 27 4. The method of modified Green's functions 30 5. Concluding remarks 35 References 38 DISTORTION IN MICROPOLAR ELASTICITY (W. NOWACKI) 1. Fundamental relations and equations 39 2. Principle of virtual work 42 3. Theorem of minimum of the complimentary work 43 • 4. Reciprocity theorem 44 5. Equations in displacements and rotations 47 6. Compatibility equations 51 References 57 THE YIELD CRITERION IN THE GENERAL CASE OF NONHOMOGENEOUS STRESS AND DEFORMATION FIELDS (J. A. KONIG and W. OLSZAK) 1. Introduction 58 2. The plasticity condition 61 3. Special cases of the yield condition 62 4. Example: Pure bending 63 5. Criteria for neutral, passive and active processes 65 VI 6. The flow law 67 References 69 ELECTRO-MAGNETO-ELASTICITY (J. B. ALBLAS) 1. Introduction 71 2. Balance equations 77 3. The jump and boundary conditions 85 4. The constitutive equations 91 5. Linearization of the magnetic problem 95 6. Magneto-elastic waves in the infinite space and in the half-space 105 References 114 PLASTICITY AND CREEP THEORY IN ENGINEERING MECHANICS (J. F • BESSE LING) 1. Introduction 115 2. Limit analysis 117 3.

elasticity, solid mechanics, stress analysis

The power of mathematics to provide quantitative insights across the whole area of solid mechanics is emphasised in this unique book. Without heavy theory, the authors relate theory to practical applications and provide over 100 carefully chosen exercises. With minimal prerequisites this is accessible to third year undergraduates and above.